I don't know what "strengthen our arteries" means. If you are referring to a regular disciplined exercise program - yes, that helps lower blood pressure. I have seen overweight patients with hypertension return to normal blood pressures after weight loss and limiting salt intake. Also to be included in non-medicinal treatment of hypertension would be avoidance of excessive stress and marked limitation of alcohol intake.
I hope that I have answered your question concerning reversing hypertension.
Please be aware that I am unable to diagnose medical conditions online.